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Curriculum Guide

Advanced Placement Calculus Page 18

Connecting f’ and f’’

with the graph of f(x)

LO 2.2A

EK 2.1D 1

EK 2.2A1

Use derivatives to analyze

properties of a function.

Differentiating f' produces the

second derivative f", provided

the derivative of f' exists;

repeating this process produces

higher order derivatives of f.

First and second derivatives

of a function can provide

information about the

function and its graph

including intervals of

increase or decrease, local

(relative)

and global (absolute)

extrema, intervals of upward

or downward concavity, and

points of inflection.

Connecting the graphs of f’

and f’’ with the graph of f(x)

Larson/Hostetler Calculus

8 th

Throughout Chapter 3

Exercises

Ed.

Supplemental Material